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Finding the Third Proportional to 796,046 and 1,681,942

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Solution

The third proportional to 796,046 and 1,681,942 is: 3,553,725.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,046 : 1,681,942 = 1,681,942 : x
  2. Step 2: Convert to fraction form
    796,046/1,681,942 = 1,681,942/x
  3. Step 3: Cross multiply
    796,046x = 1,681,942 × 1,681,942
  4. Step 4: Simplify right side
    796,046x = 2,828,928,891,364
  5. Step 5: Solve for x
    x = 2,828,928,891,364/796,046
  6. Step 6: Final answer
    x = 3,553,725.40

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.